100346610540 has 96 divisors (see below), whose sum is σ = 310393359360. Its totient is φ = 24018508800.

The previous prime is 100346610527. The next prime is 100346610541. The reversal of 100346610540 is 45016643001.

100346610540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 100346610498 and 100346610507.

It is not an unprimeable number, because it can be changed into a prime (100346610541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910141 + ... + 1014420.

It is an arithmetic number, because the mean of its divisors is an integer number (3233264160).

Almost surely, 2^100346610540 is an apocalyptic number.

100346610540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100346610540 is an abundant number, since it is smaller than the sum of its proper divisors (210046748820).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100346610540 is a wasteful number, since it uses less digits than its factorization.

100346610540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924663 (or 1924661 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 100346610540 in words is "one hundred billion, three hundred forty-six million, six hundred ten thousand, five hundred forty".